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Finding the Fourth Proportional to 365.71, 545.76 and 326.79

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Solution

The fourth proportional to 365.71, 545.76 and 326.79 is: 487.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.71 : 545.76 = 326.79 : x
  2. Step 2: Convert to fraction form
    365.71/545.76 = 326.79/x
  3. Step 3: Cross multiply
    365.71x = 545.76 × 326.79
  4. Step 4: Simplify right side
    365.71x = 178,348.91
  5. Step 5: Solve for x
    x = 178,348.91/365.71
  6. Step 6: Final answer
    x = 487.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.